Final answer:
To determine the distance a car can travel with 25 gallons of gasoline, calculate the rate of 28 miles per gallon from the given data and then multiply by 25 gallons to obtain 700 miles.
Step-by-step explanation:
To solve how many miles a car can travel with 25 gallons of gasoline when it is known that the car uses 9 gallons to travel 252 miles, we will use the concept of direct variation. This concept implies that as one amount increases, another amount increases at a constant rate.
First, we find the constant rate of miles per gallon by dividing the miles travelled by the gallons used:
Rate = Distance / Gasoline Used = 252 miles / 9 gallons = 28 miles per gallon
Next, to find out how many miles the car can travel using 25 gallons, we multiply the rate by the number of gallons:
Total Distance = Rate x Gasoline Used = 28 miles/gallon x 25 gallons = 700 miles
Therefore, the car can travel 700 miles with 25 gallons of gasoline. The correct answer is option (a) 700 miles.